On the basis of these theories, Rolle mean value theorem, Lagrange mean value theorem and Cauchy mean value theorem are proved by constructing nested interval.

在此基础上通过构造区间套依次证明了罗尔中值定理、拉格朗日中值定理和柯西中值定理。

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This paper introduces the proof and application of Cauchy mean-value theorem from many angles in every aspect.

本文介绍了柯西中值定理的多种证明方法及其应用。

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This paper deals with the forms of higher order of Cauchy′s mean value theorem, from which the author draws an inference of the forms of higher order of Lagrange′s mean value theorem.

本文论述柯西中值定理的高阶形式，并由此推出拉格朗日中值定理的高阶形式。

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